Group Representations, Ergodic Theory, and Mathematical Physics : a Tribute to George W. Mackey.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Doran, Robert S.
Otros Autores: Moore, Calvin C., Zimmer, Robert J.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2008.
Colección:Contemporary Mathematics.
Temas:
Representations of groups > Congresses.
Ergodic theory > Congresses.
Mathematical physics > Congresses.
Représentations de groupes > Congrès.
Théorie ergodique > Congrès.
Physique mathématique > Congrès.
Ergodic theory
Mathematical physics
Representations of groups
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • ""Contents""; ""Preface""; ""George Mackey 1916â€?2006""; ""Decay to Zero of Matrix Coefficients at Adjoint Infinity""; ""Induced Representations, Intertwining Operators and Transfer""; ""MASA's and Certain Type I Closed Faces of C*-algebras""; ""A Duality Approach to Representations of Baumslag-Solitar Groups""; ""1. Introduction""; ""2. Wavelet Sets""; ""3. Spectral Types""; ""4. IndGB(X)""; ""5. Haar Measure""; ""6. The Plancherel Formula for G""; ""7. Finite Dimensional Representations""; ""8. Dilations""; ""9. Wavelet Questions and Answers for the Group G = B xÎ" Z""
  • 10. Concluding RemarksThe Mackey Machine for Crossed Products: Inducing Primitive Ideals
  • Classifying the Unclassifiables
  • The Mackey Analogy and K-Theory
  • Some Recent Applications of Induced Representations
  • Groupoid Methods in Wavelet Analysis
  • Quantum Theory and Relativity
  • Thoughts about George Mackey and his lmprimitivity Theorem
  • Virtual Groups 45 Years Later
  • Spherical Characters: The Supercuspidal Case
  • Representation Theory, Radon Transform and the Heat Equation on a Riemannian Symmetric Space
  • ""Projective Representations and the Mackey Obstruction â€? A Survey""""Virtual Groups for Group Representations""; ""A Global View of Equivariant Vector Bundles and Dirac Operators on Some Compact Homogeneous Spaces""; ""George Mackey and His Work on Representation Theory and Foundations of Physics""; ""1. Introduction""; ""2. Stone-Von Neumann Theorem, Systems of Imprimitivity, and the Imprimitivity Theorem""; ""3. Semi Direct Products and the Little Group Method. Representations of Finite Length and Orbit Schemes""; ""4. Super Lie Groups and their Systems of Imprimitivity""
  • 5. Intertwining Numbers, Double Coset Decompositions, and Irreducibility of Induced Representations6. Projective Representations, Borel Cohomology of Groups, and the Metaplectic Representation
  • 7. Foundations of Physics: Hidden Variables and the Mackey-Gleason Theorem

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